How can I combine star equations to find the average density of stars?

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SUMMARY

The discussion focuses on combining star equations to derive the average density of stars. Specifically, it involves the equations L = M^3.3 and L = R^2*T^4. The goal is to demonstrate that T = R^2 under the assumption that all stars have the same average density. The participant expresses difficulty in rearranging and substituting these equations to reach the desired conclusion.

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  • Understanding of stellar luminosity and mass relationships
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tony_cruz
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Right I've got an exam at half past 4, tomorrow on a Saturday! I've spent the past few days doing past exam questions and a lot of them I'm able to do or at least work out for myself after a bit of time. Here's a couple I'm really stuck on so some help would be really really appreciated.



Homework Statement


*all = signs are proportional not equal. I thought it'd be easier than sticking k's everywhere.

Combine equations [1] and [2] to show to a good approximation that T = R^2
Assume that all these stars have the same average density.


Homework Equations


[1] L = M^3.3
[2] L = R^2*T^4


The Attempt at a Solution


Don't really know where to start with this one. I've tried re-arranging all of the equations and substituting in, but I always get stuck very early on. Mathmatical derivations really aren't my strong point.

On a similar vain, I have this equation.


Show that L = T^B and derive the value of B
(I know B is ~-0.7 btw, I just don't know how to derive that)
again = is actually proportional
 
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and use "Assume that all these stars have the same average density."
 

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